323120400 has 120 divisors (see below), whose sum is σ = 1039725120. Its totient is φ = 85777920.

The previous prime is 323120389. The next prime is 323120401. The reversal of 323120400 is 4021323.

323120400 = T₃₃₆ + T₃₃₇ + ... + T₁₂₅₄.

323120400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 323120400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323120401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351141 + ... + 352059.

It is an arithmetic number, because the mean of its divisors is an integer number (8664376).

Almost surely, 2^323120400 is an apocalyptic number.

323120400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519862560).

323120400 is an abundant number, since it is smaller than the sum of its proper divisors (716604720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

323120400 is a wasteful number, since it uses less digits than its factorization.

323120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 323120400 is about 17975.5500611247. The cubic root of 323120400 is about 686.2064447923.

Adding to 323120400 its reverse (4021323), we get a palindrome (327141723).

The spelling of 323120400 in words is "three hundred twenty-three million, one hundred twenty thousand, four hundred".